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基于偏态分布的百分位估计公式的建立

周云 侯威 钱忠华 何文平

物理学报2011,Vol.60Issue(8):813-821,9.
物理学报2011,Vol.60Issue(8):813-821,9.

基于偏态分布的百分位估计公式的建立

Development of percentile estimation formula for skewed distribution

周云 1侯威 2钱忠华 1何文平2

作者信息

  • 1. 扬州大学物理科学与技术学院,扬州225009
  • 2. 国家气候中心,北京100081
  • 折叠

摘要

Abstract

Order statistics establishes a relation between the position of the ranked data and corresponding cumulative probability,so it can be used to estimate the cumulative probability.Owing to the fact that different climatological data have different skewness degrees,in this paper,according to the cumulative probability function under the skewed distribution conditions,we perform theoretical analysis and numerical simulation to establish the position parameters of the regression model which are related to skewness index,then give an amperic percentile formula under the skewed distribution.By using the data about the summer temperature in global from 1980 to 2009,we compare the positions of ranked data corresponding to the 90th percentile,which are obtained by this formula and Jenkinson's formula.

关键词

顺序统计量/偏态分布/百分位

Key words

order statistics/skewed distribution/percentile

分类

数理科学

引用本文复制引用

周云,侯威,钱忠华,何文平..基于偏态分布的百分位估计公式的建立[J].物理学报,2011,60(8):813-821,9.

基金项目

国家自然科学基金 ()

国家科技支撑计划(批准号:2007BAC29B01)资助的课题 ()

物理学报

OA北大核心CSCDCSTPCDSCI

1000-3290

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